I want to know why we didnt use kinematics for this problem. how do we derive the acceleration formulas for c and t?
Assuming the wheels are coupled, aA=aC=a
wA=2.82=a/r --> a=.205 m/s^2
wC=a/r=.205/.216 --> wC=.95 rad/s^2
1 rev=2pi rads, and there are 3600 secs^2/1 min^2 so wC=544.31 rev/min^2
(115 rev/min)/(544.31 rev/min^2)=.211 minutes or 12.68 seconds.